Z^2=16Z

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Solution for Z^2=16Z equation:


Simplifying
Z2 = 16Z

Solving
Z2 = 16Z

Solving for variable 'Z'.

Reorder the terms:
-16Z + Z2 = 16Z + -16Z

Combine like terms: 16Z + -16Z = 0
-16Z + Z2 = 0

Factor out the Greatest Common Factor (GCF), 'Z'.
Z(-16 + Z) = 0

Subproblem 1

Set the factor 'Z' equal to zero and attempt to solve: Simplifying Z = 0 Solving Z = 0 Move all terms containing Z to the left, all other terms to the right. Simplifying Z = 0

Subproblem 2

Set the factor '(-16 + Z)' equal to zero and attempt to solve: Simplifying -16 + Z = 0 Solving -16 + Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + Z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + Z = 0 + 16 Z = 0 + 16 Combine like terms: 0 + 16 = 16 Z = 16 Simplifying Z = 16

Solution

Z = {0, 16}

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